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We study the entanglement entropy between (possibly distinct) topological phases across an interface using an Abelian Chern-Simons description with topological boundary conditions (TBCs) at the interface. From a microscopic point of view,…

Strongly Correlated Electrons · Physics 2017-11-09 Jackson R. Fliss , Xueda Wen , Onkar Parrikar , Chang-Tse Hsieh , Bo Han , Taylor L. Hughes , Robert G. Leigh

We derive an entropy formula satisfied by the ground states of 1+1D conformal field theories. The formula implies that the ground state is the critical point of an entropy function. We conjecture that this formula may serve as an…

High Energy Physics - Theory · Physics 2023-12-21 Ting-Chun Lin , John McGreevy

The existence of an exactly marginal deformation in a conformal field theory is very special, but it is not well understood how this is reflected in the allowed dimensions and OPE coefficients of local operators. To shed light on this…

High Energy Physics - Theory · Physics 2018-03-28 Connor Behan

We address several aspects of entanglement entropy of 2D interface CFT using the replica method. Unlike the case of boundary CFT, we consider the boundary OPE (BOPE) of the R\'enyi twist operator and find a boundary twist operator anchored…

High Energy Physics - Theory · Physics 2026-05-08 Mianqi Wang

We compute change in entanglement entropy for a single interval in $1+1$ dimensional sine-Gordon model perturbatively in the coupling. The sine-Gordon perturbation can be thought of as deformation of the free CFT by a primary operator with…

High Energy Physics - Theory · Physics 2017-12-29 Pinaki Banerjee , Atanu Bhatta , B. Sathiapalan

We propose a diagnostic tool for detecting non-trivial symmetry protected topological (SPT) phases protected by a symmetry group $G$ in 2+1 dimensions. Our method is based on directly studying the 1+1-dimensional anomalous edge conformal…

Strongly Correlated Electrons · Physics 2017-09-13 Bo Han , Apoorv Tiwari , Chang-Tse Hsieh , Shinsei Ryu

Entanglement entropy of gauge fields is calculated using the partition function in curved spacetime with a boundary. We derive a Gibbons-Hawking-like term from a Becchi-Rouet-Stora-Tyutin (BRST) action and a Wald-entropy-like codimension-2…

High Energy Physics - Theory · Physics 2016-02-02 Kuo-Wei Huang

We propose bulk duals for certain coarse-grained entropies of boundary regions. The `one-point entropy' is defined in the conformal field theory by maximizing the entropy in a domain of dependence while fixing the one-point functions. We…

High Energy Physics - Theory · Physics 2014-04-02 William R. Kelly , Aron C. Wall

The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization…

Statistical Mechanics · Physics 2017-08-30 Eyal Cornfeld , Eran Sela

We consider a conformal field theory in two dimensions in which an external perturbation is placed. We study the energy flux and entanglement entropy for one, two and multiple intervals and give a suggestion relating the two in some cases.…

High Energy Physics - Theory · Physics 2017-11-01 Talya Vaknin

The quantum theory of near horizon regions of spacetimes with classical spatially flat, homogeneous and isotropic Friedman-Robertson-Walker geometry can be approximately described by a two dimensional conformal field theory. The central…

High Energy Physics - Theory · Physics 2009-10-31 Ram Brustein

Quantum many-body systems have a rich structure in the presence of boundaries. We study the groundstates of conformal field theories (CFTs) and Lifshitz field theories in the presence of a boundary through the lens of the entanglement…

Strongly Correlated Electrons · Physics 2022-09-07 Clément Berthiere , William Witczak-Krempa

We provide a field-theoretic method to calculate entanglement entropy of CFT in all dimensions. This method works for entangling surfaces of arbitrary shape. The formalism manifests a field-theoretic proof of the Ryu-Takayanagi formula.

High Energy Physics - Theory · Physics 2026-01-06 Xin Jiang , Haitang Yang

We study entanglement entropy (EE) in conformal field theories (CFTs) in Minkowski space with a planar boundary or with a planar defect of any codimension. In any such boundary CFT (BCFT) or defect CFT (DCFT), we consider the reduced…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen , Andy O'Bannon

We propose a holographic duality for the boundary Lifshitz field theory (BLFT). Similar to holographic BCFT, holographic BLFT can be consistently defined by imposing either a Neumann boundary condition (NBC) or a conformal boundary…

High Energy Physics - Theory · Physics 2024-12-02 Chong-Sun Chu , Ignacio Garrido Gonzalez , Himanshu Parihar

We study the holographic entanglement entropy in a (d+1)-dimensional boundary quantum field theory at both the zero and finite temperature. The phase diagrams for the holographic entanglement entropy at various temperatures are obtained by…

High Energy Physics - Theory · Physics 2018-11-28 En-Jui Chang , Chia-Jui Chou , Yi Yang

We discuss the change of the boundary entropy under an ambient renormalization group flow. We use conformal perturbation theory to calculate the change of the boundary entropy for $d$-dimensional BCFTs between two nearby fixed points. We…

High Energy Physics - Theory · Physics 2020-07-01 Yoshiki Sato

By using Araki's relative entropy, Lieb's convexity and the theory of singular integrals, we compute the mutual information associated with free fermions, and we deduce many results about entropies for chiral CFT's which are embedded into…

Operator Algebras · Mathematics 2017-12-21 Roberto Longo , Feng Xu

We explore some consequences of the crossing symmetry for defect conformal field theories, focusing on codimension one defects like flat boundaries or interfaces. We study surface transitions of the 3d Ising and other O(N) models through…

High Energy Physics - Theory · Physics 2021-11-29 F. Gliozzi , P. Liendo , M. Meineri , A. Rago

We study reflection/transmission process at conformal defects by introducing new transport coefficients for conserved currents. These coefficients are defined by using BCFT techniques thanks to the folding trick, which turns the conformal…

High Energy Physics - Theory · Physics 2014-06-25 Taro Kimura , Masaki Murata
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